Year 10 Maths

 

(1)

Find the term

HELP
(a)   If Tn = 7n - 3 find (T53)
(b)   If Tn = 5 x 3n - 2 + 4 find (T4)

(c)   If Tn = find (T48)
(2) Find the term of the A.P.

HELP

 A.P. = Arithmetic Progression
(a)   a = 7, d = 11....................(T39)
(b)   7, 14, 21,........................(T52)
(c)   3, -8, -19,.......................(T172)
(3)

Find the sum of the number of terms in each problem

 HELP Formula:

Sn = where l = a + (n - 1)d
(a)   The sum of the first 98 positive multiples of 4.
(b)   The sum of the first 50 positive multiples of 7.
(4)

Solve

 HELP
A well with a diametre 2.2 metres has to be excavated to a depth of 5 metres. Find the volume of earth to be removed.

Use π = 3.14 and round to nearest hundredth

 m3  
(5) Solve HELP

Round to a whole number
(a)  
(b)  
(c)  
(6) Solve HELP

Round to the nearest hundredth
A wooden gate 1½ metres high and 3 metres wide needs a diagonal brace fitted . Find the length of the diagonal brace needed. metres  

 

    

 

 

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